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Finding the Fourth Proportional to 206,324.79, 309,533.85 and 73,205.19

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Solution

The fourth proportional to 206,324.79, 309,533.85 and 73,205.19 is: 109,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,324.79 : 309,533.85 = 73,205.19 : x
  2. Step 2: Convert to fraction form
    206,324.79/309,533.85 = 73,205.19/x
  3. Step 3: Cross multiply
    206,324.79x = 309,533.85 × 73,205.19
  4. Step 4: Simplify right side
    206,324.79x = 22,659,484,300.68
  5. Step 5: Solve for x
    x = 22,659,484,300.68/206,324.79
  6. Step 6: Final answer
    x = 109,824.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.